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Finding the Fourth Proportional to 2,229.98, 3,346.18 and 1,408.64

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Solution

The fourth proportional to 2,229.98, 3,346.18 and 1,408.64 is: 2,113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.98 : 3,346.18 = 1,408.64 : x
  2. Step 2: Convert to fraction form
    2,229.98/3,346.18 = 1,408.64/x
  3. Step 3: Cross multiply
    2,229.98x = 3,346.18 × 1,408.64
  4. Step 4: Simplify right side
    2,229.98x = 4,713,542.74
  5. Step 5: Solve for x
    x = 4,713,542.74/2,229.98
  6. Step 6: Final answer
    x = 2,113.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.